Solve 3x-5/2+5=2x-8+x/3

$$\frac { 3 x - 5 } { 2 } + 5 = 2 x - \frac { 8 + x } { 3 }$$

Solve for x

$$x=31$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

$$3\left(3x-5\right)+30=12x-2\left(8+x\right)$$

Use the distributive property to multiply 3 by 3x-5.

$$9x-15+30=12x-2\left(8+x\right)$$

Add -15 and 30 to get 15.

$$9x+15=12x-2\left(8+x\right)$$

Use the distributive property to multiply -2 by 8+x.

$$9x+15=12x-16-2x$$

Combine 12x and -2x to get 10x.

$$9x+15=10x-16$$

Subtract 10x from both sides.

$$9x+15-10x=-16$$

Combine 9x and -10x to get -x.

$$-x+15=-16$$

Subtract 15 from both sides.

$$-x=-16-15$$

Subtract 15 from -16 to get -31.

$$-x=-31$$

Multiply both sides by -1.

$$x=31$$